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We have designed a computational model of a virus spread near the outbreak threshold. Using computer simulation we studied the Susceptible - Infected - Recovered (SIR) process where in consequence of a force of habit that is manifested by…

Populations and Evolution · Quantitative Biology 2021-12-23 Jozef Černák

In the age of digital epidemiology, epidemiologists are faced by an increasing amount of data of growing complexity and dimensionality. Machine learning is a set of powerful tools that can help to analyze such enormous amounts of data. This…

Machine Learning · Statistics 2026-02-19 Marvin N. Wright , Lukas Burk , Pegah Golchian , Jan Kapar , Niklas Koenen , Sophie Hanna Langbein

We propose and solve exactly a model of a network that has both a tunable degree distribution and a tunable clustering coefficient. Among other things, our results indicate that increased clustering leads to a decrease in the size of the…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

The internet of things (IoT) has gained worldwide attention in recent years. It transforms the everyday objects that surround us into proactive actors of the Internet, generating and consuming information. An important issue related to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-29 Abdallah Makhoul , Christophe Guyeux , Mourad Hakem , Jacques M. Bahi

In epidemiology, an epidemic is defined as the spread of an infectious disease to a large number of people in a given population within a short period of time. In the marketing context, a message is viral when it is broadly sent and…

Physics and Society · Physics 2015-07-28 Helena Sofia Rodrigues , Manuel José Fonseca

Resource support between individuals is of particular importance in controlling or mitigating epidemic spreading, especially during pandemics. Whereas there remains the question of how we can protect ourselves from being infected while…

Physics and Society · Physics 2020-02-10 Xiaolong Chen , Quanhui Liu , Ruijie Wang , Qing Li , Wei Wang

Accurate identification of effective epidemic threshold is essential for understanding epidemic dynamics on complex networks. The existing studies on the effective epidemic threshold of the susceptible-infected-removed (SIR) model generally…

Physics and Society · Physics 2016-06-14 Panpan Shu , Wei Wang , Ming Tang , Pengcheng Zhao , Yi-Cheng Zhang

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

We propose a deterministic compartmental model of infectious disease which considers the test-kits as an important ingredient for the suppression and mitigation of epidemics. A rigorous simulation (with analytical argument) is provided to…

Physics and Society · Physics 2021-07-28 Subrata Ghosh , Abhishek Senapati , Joydev Chattopadhyay , Chittaranjan Hens , Dibakar Ghosh

When effective medical treatment and vaccination are not available, non-pharmaceutical interventions such as social distancing, home quarantine and far-reaching shutdown of public life are the only available strategies to prevent the spread…

Populations and Evolution · Quantitative Biology 2020-08-19 Markus Kantner , Thomas Koprucki

Motivated by recent epidemic outbreaks, including those of COVID-19, we solve the canonical problem of calculating the dynamics and likelihood of extensive outbreaks in a population within a large class of stochastic epidemic models with…

Populations and Evolution · Quantitative Biology 2022-01-31 Jason Hindes , Michael Assaf , Ira B. Schwartz

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2019-08-22 Akari Matsuki , Gouhei Tanaka

Two simple agent based models are often employed in epidemic studies: the susceptible-infected (SI) and the susceptible-infected-susceptible (SIS). Both models describe the time evolution of infectious diseases in networks in which vertices…

We study the problem of estimating the origin of an epidemic outbreak -- given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source. Finding the source is important in different contexts of…

Physics and Society · Physics 2014-11-20 Andrey Y. Lokhov , Marc Mézard , Hiroki Ohta , Lenka Zdeborová

Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using…

Quantitative Methods · Quantitative Biology 2023-02-07 István Z. Kiss , Luc Berthouze , Wasiur R. KhudaBukhsh

We consider here an extended SIR model, including several features of the recent COVID-19 outbreak: in particular the infected and recovered individuals can either be detected (+) or undetected (-) and we also integrate an intensive care…

Populations and Evolution · Quantitative Biology 2020-05-25 Arthur Charpentier , Romuald Elie , Mathieu Laurière , Viet Chi Tran

A pandemic is the spread of a disease across large regions, and can have devastating costs to the society in terms of health, economic and social. As such, the study of effective pandemic mitigation strategies can yield significant positive…

Artificial Intelligence · Computer Science 2024-10-02 Ari Gestetner , Buser Say

We use the susceptible-infected-recovered (SIR) model for disease spread over a network, and empirically study how well various centrality measures perform at identifying which nodes in a network will be the best spreaders of disease on 10…

Social and Information Networks · Computer Science 2012-08-23 Brian Macdonald , Paulo Shakarian , Nicholas Howard , Geoffrey Moores

A physics-informed neural network (PINN) embedded with the susceptible-infected-removed (SIR) model is devised to understand the temporal evolution dynamics of infectious diseases. Firstly, the effectiveness of this approach is demonstrated…

Quantitative Methods · Quantitative Biology 2025-04-08 Shuai Han , Lukas Stelz , Horst Stoecker , Lingxiao Wang , Kai Zhou

We propose a stochastic SIR model, specified as a system of stochastic differential equations, to analyse the data of the Italian COVID-19 epidemic, taking also into account the under-detection of infected and recovered individuals in the…

Populations and Evolution · Quantitative Biology 2021-02-22 Sara Pasquali , Antonio Pievatolo , Antonella Bodini , Fabrizio Ruggeri